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Finding the Fourth Proportional to 14,140.84, 19,513.47 and 8,171.54

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Solution

The fourth proportional to 14,140.84, 19,513.47 and 8,171.54 is: 11,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.84 : 19,513.47 = 8,171.54 : x
  2. Step 2: Convert to fraction form
    14,140.84/19,513.47 = 8,171.54/x
  3. Step 3: Cross multiply
    14,140.84x = 19,513.47 × 8,171.54
  4. Step 4: Simplify right side
    14,140.84x = 159,455,100.64
  5. Step 5: Solve for x
    x = 159,455,100.64/14,140.84
  6. Step 6: Final answer
    x = 11,276.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.